Find the Solution or Solutions, If Any Exist, to the System

question 64

Multiple Choice

Find the solution or solutions, if any exist, to the system.
-A man has $\$ 298,000$ invested in three rental properties. One property earns $8.5 \%$ per year on the investment, a second earns $11 \%$ , and the third earns $7 \%$ . The annual earnings from the the properties total $\$ 17,000$ . Write a system of two equations to represent the problem with $\mathrm { x } , \mathrm { y }$ , and $\mathrm { z }$ representing the $8.5 \% , 11 \%$ , and $7 \%$ investments, respectively.

• A) \(\left\{ \begin{array} { l } x + y + z = 17,000 \\ 0.085 x + 0.11 y + 0.07 z = 298,000 \end{array} \right.\)
• B) \(\left\{ \begin{array} { l } x + y + z = 298,000 \\ 0.085 x + 0.07 y + 0.11 z = 17,000 \end{array} \right.\)
• C) \(\left\{ \begin{array} { l } x + y + z = 298,000 \\ 0.11 x + 0.085 y + 0.07 z = 17,000 \end{array} \right.\)
• D) \(\left\{ \begin{array} { l } x + y + z = 298,000 \\ 0.085 x + 0.11 y + 0.07 z = 17,000 \end{array} \right.\)

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